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Finding the Third Proportional to 130,738.50 and 276,165

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Solution

The third proportional to 130,738.50 and 276,165 is: 583,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,738.50 : 276,165 = 276,165 : x
  2. Step 2: Convert to fraction form
    130,738.50/276,165 = 276,165/x
  3. Step 3: Cross multiply
    130,738.50x = 276,165 × 276,165
  4. Step 4: Simplify right side
    130,738.50x = 76,267,107,225
  5. Step 5: Solve for x
    x = 76,267,107,225/130,738.50
  6. Step 6: Final answer
    x = 583,356.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.